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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,2,8)(3,5)(4,7,6), σ∞ = (6,3,1)(8,2)(5,7,4)
Base field: 1 - 2T - 4T^2 + 2T^3 + 13T^4
Embedding: 2.282428 + 0.079226√(-1)
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